1. RISK BENEFIT ANALYSIS Special Lectures University of Kuwait Richard Wilson Mallinckrodt Professor of Physics Harvard University January 13th, 14th and 15th 2002

2. January 14th 9 am to 2 pm Uncertainty and Perception Risk implies an Uncertainty An uncertain outcome implies a risk Public Perception is all important in influencing decisions. A Decision Maker ignores it at his peril

4. Risk Changes with Time So does Uncertainty

5. Two main types of Uncertainty Systematic Uncertainty or Uncertainty of fact. (Does it, or will it, ever happen to anyone ?) Stochastic (will it happen to me?) Society is primarily concerned with only the first Individuals also are concerned about the second

7. Kahneman and Tversky Problem 1 [N = 152]: Imagine that the U.S. is preparing for the outbreak of an unusual Asian disease, which is expected to kill 600 people. Two alternative programs to combat the disease have been proposed. Assume that the exact scientific estimate of the consequences of the programs are as follows: If Program A is adopted, 200 people will be saved. If Program B is adopted, there is 1/3 probability that 600 people will be saved, and 2/3 probability that no people will be saved. Which of the two programs would you favor?

8. Problem 2 [N = 155] If Program C is adopted 400 people will die. If Program D is adopted there is 1/3 probability that nobody will die, and 2/3 probability that 600 people will die. Which of the two programs would you favor?

9. Problem 3 [N = 150] Imagine that you face the following pair of concurrent decisions. First examine both decisions, then indicate the options you prefer. Decision (i) Choose between: A.a sure gain of $240 B.25% chance to gain $1000, and 75% chance to gain nothing Decision (ii) Choose between: C.a sure loss of $750 D.75% chance to lose $1000, and 25% chance to lose nothing

10. Problem 4 [N = 86] Choose between: A & D.25% chance to win $240, and 75% chance to lose $760 B & C.25% chance to win $250, and 75% chance to lose $750

11. Problem 5 [N = 77] Which of the following options do you prefer? A.a sure win of $30 B.80% chance to win $45

12. Problem 6 [N = 85] Consider the following two-stage game. In the first stage, there is a 75% chance to end the game without winning anything, and a 25% chance to move into the second stage. If you reach the second stage you have a choice between: C.a sure win of $30 D.80% chance to win $45 Your choice must be made before the game starts, i.e. before the outcome of the first stage is known. Please indicate the option you prefer.

13. Problem 7 [N = 81] Which of the following options do you prefer? E.25% chance to win $30 F.20% chance to win $45

14. Problem 8 [N = 183] Imagine that you have decided to see a play where admission is $10 per ticket. As you enter the theater you discover that you have lost a $10 bill. Would you still pay $10 for a ticket for the play? Yes No

15. Problem 9 [N = 200] Imagine that you have decided to see a play and paid the admission price of $10 per ticket. As you enter the theater you discover that you have lost the ticket. The seat was not marked and the ticket cannot be recovered. Would you pay $10 for another ticket? Yes No

16. Problem 10 Imagine that you are about to purchase a jacket for ($125) [$15], and a calculator for ($15) [$125]. The calculator salesman informs you that the calculator you wish to buy is on sale for ($10) [$120] at the other branch of the store located 20 minutes drive away. Would you make the trip to the other store?

20. Global Warming Lecture at Kuwait University January 15th 2002